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Finding the Fourth Proportional to 410.49, 616.01 and 227.97

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Solution

The fourth proportional to 410.49, 616.01 and 227.97 is: 342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 616.01 = 227.97 : x
  2. Step 2: Convert to fraction form
    410.49/616.01 = 227.97/x
  3. Step 3: Cross multiply
    410.49x = 616.01 × 227.97
  4. Step 4: Simplify right side
    410.49x = 140,430.66
  5. Step 5: Solve for x
    x = 140,430.66/410.49
  6. Step 6: Final answer
    x = 342.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.